Where does “nōsegai” come from?

nōsegai (Middle English) comes from Middle English nōse, from Old French nous, from Latin nōs, from Proto-Italic nōs, from Proto-Indo-European wéy, from Proto-Indo-European éǵh₂ — I.

Ancestry of “nōsegai”, step by step

Step	Language	Word	Meaning
1	Middle English	nōse	nose
2	Old French	nous	Alternative form of nos
3	Latin	nōs	we, us
4	Proto-Italic	nōs	we
5	Proto-Indo-European	wéy	we
6	Proto-Indo-European	éǵh₂	I

Words derived from “nōsegai”

nosegay
nosegayed

Every word from Proto-Indo-European éǵh₂ →Every word from Proto-Indo-European wéy →Every word from Proto-Italic nōs →